Vectors and Scalars:

Exercise 5: Rochelle is flying to New York for her big
Broadway debut. If the plane heads out of Los Angeles with a velocity of 220
m/s in a northeast direction, relative to the ground, and encounters a wind blowing
head-on at 45 m/s, what is the resultant velocity of the plane relative to the
ground?

Exercise 6: While Dexter is
on a camping trip with his boy scout troop, the scout leader hands each boy a
compass and map. The directions on Dexter’s map read as follows: “Walk 500 m
north, 200 m east, 300 m south, and 400 m west” If he follows the map what is
Dexter’s displacement? Solve graphically.

Exercise 7: Arny flies due
east from San Francisco to Washington D.C., a displacement of 5600 km. He then
flies from Washington to Boston a displacement of 900 km at an angle of 55
degrees east of north. What is Arny’s total displacement?

Exercise 8: Eli finds a map
for a buried treasure. It tells him to begin at the old oak and walk 21 paces
due west, 41 paces at an angle 45 degrees south of west, 69 paces due north, 20
paces due east, and 50 paces at an angle of 53 degrees south of east. How far
from the oak tree is the buried treasure? Solvc graphically.